Classical Möbius-ring resonators exhibit fermion-boson rotational symmetry. Academic Article uri icon

Overview

MeSH

  • Magnetic Resonance Imaging

MeSH Major

  • Models, Theoretical
  • Radio Waves

abstract

  • The behavior of coupled harmonic oscillators in systems with specified boundary conditions is typically characterized by resonances whose frequency spectra represent harmonics according to properties of the individual oscillators, the interactions between them, and the overall symmetry of the system. Here it is demonstrated that classical one- and two-dimensional radio frequency resonators constrained to a Möbius topology are the formal partners of cylindrical ring resonators, and specifically give rise to half-integral harmonic excitations that are orthogonal to the integral excitations of a ring. In particular, the half-integral harmonics are formally invariant under rotations at a minimum of 4pi rather than 2pi rad, in analogy to the rotational symmetry of fermions in quantum mechanics. The results offer a pathway for discovery in other physical systems as well as the design of novel materials and electronic instrumentation.

publication date

  • December 12, 2008

has subject area

  • Magnetic Resonance Imaging
  • Models, Theoretical
  • Radio Waves

Research

keywords

  • Journal Article

Identity

Language

  • eng

PubMed ID

  • 19113667

Additional Document Info

start page

  • 247701

volume

  • 101

number

  • 24